基于有限点法的自由面流动的数值模拟

Numerical simulation of free surface flow based on finite point method

为了准确模拟复杂变形的自由面流动,应用空间粒子法中的有限点法(FPM),即利用移动最小二乘(MLS)法近似流场函数,采用投影法分步求解压力泊松方程,迭代更新流场各粒子的物理信息,数值模拟大变形下的自由面流动问题.数值模拟结果表明:采用有限点法可以较准确地模拟出自由面流动过程中的复杂变形,如迸溅、翻滚、破碎以及入水等现象,与试验结果吻合较好.验证了采用的有限点法对于处理大变形自由面流动问题具有较高的可靠性及较好的灵活性.

The finite point method（FPM）was employed to accurately simulate the free surface flow with complicated deformation.The projection method was adopted to fulfill the incompressibility of flow.The moving least squares（MLS）approach was introduced for solving the pressure Poisson equation and updating physics information of particles in flow filed over time steps.Then the flow with a large deformation of free surface was simulated.The numerical results show that the finite point method can accurately provide more detailed information and features of complicated free surface flow,such as the phenomena of water jump,rolled,merged and broken waves.The numerical results agreed well with the experimental data.The presented finite point method was proved to have excellent flexibility and reliability in dealing with complex free surface flows.